Finding the Third Proportional to 973.31 and 1,182.56

Step by Step Solution

1. Step 1: Write the proportion equation
   973.31 : 1,182.56 = 1,182.56 : x
2. Step 2: Convert to fraction form
   973.31/1,182.56 = 1,182.56/x
3. Step 3: Cross multiply
   973.31x = 1,182.56 × 1,182.56
4. Step 4: Simplify right side
   973.31x = 1,398,454.07
5. Step 5: Solve for x
   x = 1,398,454.07/973.31
6. Step 6: Final answer
   x = 1,436.80